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IMI/Publicaţii/BASM/Ediţii/BASM n3(97), 2021/

Strong stability for multiobjective investment problem with perturbed minimax risks of different types and parameterized optimality

Authors: Vladimir A. Emelichev, Yury V. Nikulin
Keywords: Multiobjective problem, investment, Pareto set, a set of extreme solutions, strong stability, H{\"o}lder's norms

Abstract

A multicriteria investment Boolean problem of minimizing lost profits with parameterized efficiency and different types of risks is formulated. The lower and upper bounds on the radius of the strong stability of efficient portfolios are obtained. Several earlier known results regarding strong stability of Pareto efficient and extreme portfolios are confirmed.

Vladimir Emelichev
Belarusian State University
ave. Independence, 4, Minsk 220030
Belarus
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Yury Nikulin
University of Turku
Vesilinnantie 5, Turku 20014
Finland
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